Note on regions containing eigenvalues of a matrix
Abstract
By excluding some regions, in which each eigenvalue of a matrix is not contained, from the αβ-type eigenvalue inclusion region provided by Huang et al.(Electronic Journal of Linear Algebra, 15 (2006) 215-224), a new eigenvalue inclusion region is given. And it is proved that the new region is contained in the αβ-type eigenvalue inclusion region.
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